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Finding the Fourth Proportional to 6,455.32, 8,908.52 and 3,661

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Solution

The fourth proportional to 6,455.32, 8,908.52 and 3,661 is: 5,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.32 : 8,908.52 = 3,661 : x
  2. Step 2: Convert to fraction form
    6,455.32/8,908.52 = 3,661/x
  3. Step 3: Cross multiply
    6,455.32x = 8,908.52 × 3,661
  4. Step 4: Simplify right side
    6,455.32x = 32,614,091.72
  5. Step 5: Solve for x
    x = 32,614,091.72/6,455.32
  6. Step 6: Final answer
    x = 5,052.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.